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Prove : 2(sin^(6)theta+cos^(6)theta)-3(s...

Prove `: 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+1=0`.

A

2

B

0

C

4

D

6

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The correct Answer is:
B
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Prove that sin^(6)theta+cos^(6)theta=1-3sin^(2)theta.cos^(2)theta.

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The value of (2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta))/(cos^(4)theta-sin^(4)theta-2cos^(2)theta) is :

4(sin^(6)theta+cos^(6)theta)-6(sin^(4)theta+cos^(4)theta) is equal to

DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-1
  1. The value of (1+cos (pi/6))(1+cos(pi/3))(1+cos ((2pi)/3))(1+cos((7pi...

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  2. Period of (sin theta + sin 2 theta)/( cos theta + cos 2 theta) is

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  3. Prove : 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+1=0.

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  4. The value of tan 3 A - tan A is equal to

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  5. Value of sin 47^(@) + sin 61^(@)- sin 11 ^(@)-sin 25 ^(@) is

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  6. f(x)=(sin x^(7)) e^(x^(5)). Sgn( x^(9)) is:

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  7. The value of (cot 54^(@))/(tan 36^(@)) + (tan 20^(@))/(cot 70^(@)) is

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  8. If n=pi/(4alpha), then tanalpha tan 2alpha tan 3 alpha........tan(2n-1...

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  9. Value of 2 sin ^(2) "" (pi)/(6) + cosec ^(2) "" (7pi)/(6) .cos^(2) "" ...

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  10. If cos7theta=costheta-sin4theta, then the general value of theta is

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  11. General solution of tan 5 theta =

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  12. If cos theta + cos 2 theta + cos 3 theta = 0 then the general value ...

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  13. Domain of the function f (x) = sqrt ((1)/( sin x )-1) is

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  14. The solution of tan ^(2) 9x = cos 2x -1 is

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  15. The number of points of intersection of the two curves y=2 sin x and...

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  16. If sqrt3tan2theta+sqrt(3)tan3theta+tan2thetatan3theta=1 then the gener...

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  17. If sin(pi cos theta) = cos(pi sin theta), then of the value cos(th...

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  18. The number of solutions of the equation sin((pix)/(2sqrt3))=x^2-2sqrt3...

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  19. If : sin 5x + sin 3x + sin x = 0, where 0 lt x le (pi)/2, then : x =

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  20. the general solution of sin^2thetasectheta+sqrt3 tantheta=0 is

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